48151207982592 has 1920 divisors, whose sum is σ = 179416908582912. Its totient is φ = 12200863334400.

The previous prime is 48151207982567. The next prime is 48151207982617. The reversal of 48151207982592 is 29528970215184.

48151207982592 is a `hidden beast` number, since 4 + 8 + 1 + 512 + 0 + 7 + 9 + 8 + 25 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (48151207982567) and next prime (48151207982617).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 108693471523 + ... + 108693471965.

Almost surely, 2^{48151207982592} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48151207982592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89708454291456).

48151207982592 is an abundant number, since it is smaller than the sum of its proper divisors (131265700600320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48151207982592 is a wasteful number, since it uses less digits than its factorization.

48151207982592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 63.

The spelling of 48151207982592 in words is "forty-eight trillion, one hundred fifty-one billion, two hundred seven million, nine hundred eighty-two thousand, five hundred ninety-two".